An annuity that pays $$13,000$ a year at an annual interest rate of $4\mathrm{.}61$ percent costs $$155,000$ today. What is the length of the annuity time period?

$($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Note: It is highly recommended to use Excel $($or Google Sheets$)$ or a financial calculator to solve this problem.